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Finding the Fourth Proportional to 2,652.30, 3,972.60 and 1,661.89

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Solution

The fourth proportional to 2,652.30, 3,972.60 and 1,661.89 is: 2,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.30 : 3,972.60 = 1,661.89 : x
  2. Step 2: Convert to fraction form
    2,652.30/3,972.60 = 1,661.89/x
  3. Step 3: Cross multiply
    2,652.30x = 3,972.60 × 1,661.89
  4. Step 4: Simplify right side
    2,652.30x = 6,602,024.21
  5. Step 5: Solve for x
    x = 6,602,024.21/2,652.30
  6. Step 6: Final answer
    x = 2,489.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.